We review recent progresses in the study of flat band systems, especially focusing on the
fundamental physics related to the singularity of the flat band's Bloch wave functions. We first …

This paper provides a pedagogical introduction to recent developments in geometrical and
topological band theory following the discovery of graphene and topological insulators …

Exotic phases of matter can emerge from the interplay between strong electron interactions
and non-trivial topology. Materials that have non-dispersing bands in their electronic band …

Inspired by the great development of graphene, more and more research has been
conducted to seek new two-dimensional (2D) materials with Dirac cones. Although 2D Dirac …

Within the wave-packet semiclassical approach, the Bloch electron energy is derived to
second order in the magnetic field and classified into gauge-invariant terms with clear …

We investigate Klein tunneling for the α-T 3 model, which interpolates between graphene
and the dice lattice via parameter α. We study transmission across two types of electrostatic …

The orbital magnetic susceptibility of an electron gas in a periodic potential depends not
only on the zero field energy spectrum but also on the geometric structure of cell-periodic …

The eigenvalues of a parameter-dependent Hamiltonian matrix form a band structure in
parameter space. In such N-band systems, the quantum geometric tensor (QGT), consisting …

The general relevance of the immune system for cancer development and therapy is
increasingly recognized. However and although the immune contexture of most human …

Hg 1− x Cd x Te at a critical do** x= xc≈ 0.17 has a bulk dispersion which includes two
linear cones meeting at a single point at zero energy, intersecting a nearly flat band, similar …